An Automorphism of A Free Metabelian Group Without Fixed Points
Martin Kassabov
Abstract
We construct an example of an IA-automorphism of the free metabelian group of rank n≥ 3 without nontrivial fixed points. That gives a negative answer to the question raised by Shpilrain. By a result of Bachmuth Ba1, such an automorphism does not exist if the rank is equal to 2.
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